Home / 9,780-11,916

Finding the Third Proportional to 9,780 and 11,916

Calculator

Solution

The third proportional to 9,780 and 11,916 is: 14,518.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,780 : 11,916 = 11,916 : x
  2. Step 2: Convert to fraction form
    9,780/11,916 = 11,916/x
  3. Step 3: Cross multiply
    9,780x = 11,916 × 11,916
  4. Step 4: Simplify right side
    9,780x = 141,991,056
  5. Step 5: Solve for x
    x = 141,991,056/9,780
  6. Step 6: Final answer
    x = 14,518.51

Related Problems

Find third proportional to 4,890 and 5,958
Half scale
Find third proportional to 19,560 and 23,832
Double scale
Find third proportional to 9,782 and 11,918
Similar ratio
Find third proportional to 14,670 and 17,874
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.